Non-reductive group actions and symplectic implosion

Date: 05/11/2007

Lecturer(s):

Frances Kirwan (University of Oxford)

Location:

University of Washington

Topic:

Given a linear action of a complex reductive group
on a projective variety X, geometric invariant theory provides us with
an open subset of X (the set of stable points) which has a well-behaved
quotient, and a compactification of this quotient which can be
identified with a symplectic reduction in the sense of Marsden and
Weinstein. This talk will discuss an analogue of this situation for
groups which are not reductive, and its relationship with symplectic
implosion in the sense of Guillemin, Jeffrey and Sjamaar.